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## FPGA Based Adaptive Filter Design Using Least PTH-Norm Technique

### Citations

1842 |
Adaptive Filter Theory
- Haykin
- 1991
(Show Context)
Citation Context ...orithms, most adaptive filters are digital filters. An adaptive filter is required when either the fixed specifications are unknown or the specifications cannot be satisfied by time-invariant filters =-=[1]-=-. An adaptive filter is a nonlinear filter since its characteristics are dependent on the input signal .However, if we freeze the filter parameters at a given instant of time, than adaptive filters co... |

327 |
Fundamentals of adaptive filtering
- Sayed
- 2003
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Citation Context ... .However, if we freeze the filter parameters at a given instant of time, than adaptive filters considered are linear in the sense that their output signals are linear functions of their input signals=-=[2]-=-. As the signal into the filter continues, the adaptive filter coefficients adjust themselves to achieve the desired result, such as identifying an unknown filter or canceling noise in the input signa... |

36 | Variable step-size NLMS and affine projection algorithms
- Shin, Sayed, et al.
- 2004
(Show Context)
Citation Context ...en step size and filter order. The performance is also a tradeoff between convergence rate and MSE. To eliminate the tradeoff between convergence rate and MSE, one would use a variable step-size [12]-=-=[13]-=--[14]. The commonly used algorithm LMS provides low complexity and stability. Further the need of filter to minimize the difference between actual and desired response of magnitude is solved using lea... |

11 |
A computationally efficient frequency-domain lms algorithm with constraints on the adaptive filter
- Rafaely, Elliott
(Show Context)
Citation Context ...his adaptive FIR filter structure, the output is a linear combination of the adaptive filter coefficients. Alternative adaptive FIR filter structures improve performance in terms of convergence speed =-=[4]-=-.For simple implementation and easy analysis; most adaptive IIR filter structures use the canonic direct form realization. Some other realizations are also presented to overcome some drawbacks of cano... |

3 |
Performance analysis of a new variable step-size LMS algorithm with error nonlinearities
- Ramadan, Poularikas
- 2004
(Show Context)
Citation Context ...between step size and filter order. The performance is also a tradeoff between convergence rate and MSE. To eliminate the tradeoff between convergence rate and MSE, one would use a variable step-size =-=[12]-=--[13]-[14]. The commonly used algorithm LMS provides low complexity and stability. Further the need of filter to minimize the difference between actual and desired response of magnitude is solved usin... |

2 |
Design and Implementation of Adaptive Equalizer Based On
- Yecai, Longqing, et al.
- 2007
(Show Context)
Citation Context ...tions, objective cost function and error signal. The algorithm used in equalization is LMS and is known for its simplification, low complexity and better performance in different running environments =-=[5]-=-. Further symmetric approach can be employed to reduce the complexity with partial serial MAC based approach to optimize speed and area [6]. Fractionally spaced equalizer (FSE) can be used to compensa... |

2 |
Rajesh Mehra , “ An FPGA Implementation Efficient Equalizer for
- Kaur
- 2010
(Show Context)
Citation Context ...ity and better performance in different running environments [5]. Further symmetric approach can be employed to reduce the complexity with partial serial MAC based approach to optimize speed and area =-=[6]-=-. Fractionally spaced equalizer (FSE) can be used to compensate for channel distortion before aliasing effects occur due to symbol rate sampling. FSE is used to reduce computational requirements and t... |

2 |
FPGA Implementation of a configurable complex blind Adaptive
- Khalid, S
- 2007
(Show Context)
Citation Context ...equalizer (FSE) can be used to compensate for channel distortion before aliasing effects occur due to symbol rate sampling. FSE is used to reduce computational requirements and to improve convergence =-=[7]-=-. Further Fast Block Least Mean Square (FBLMS) is one of the fastest and computationally efficient adaptive algorithms. Distributed Arithmetic further enhances the throughput of FBLMS algorithm with r... |

2 |
Ranjit Kaur “Least Square Linear Phase Non-recursive Filter Design
- Kaur
- 2011
(Show Context)
Citation Context ...er. The unconstrained optimization problem of Non-recursive filter to minimize the difference between actual and desired response of magnitude is solved using least squares design method for L2p norm =-=[9]-=-. Least square error design method for the optimal design of FIR filter showed that as the order of the filter is increased the ripple content in the stop band diminishes. Also the design using least ... |

2 |
Takaos Hinamoto” Minimax Design of Non-linear phase FIR Filters: A Least Pth approach
- Lu
- 2002
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Citation Context ...e response and give a constant response in stop band. The least Pth norm method doesn’t need to update weighting functions, no constraints are imposed and design can start anywhere in parameter space =-=[10]-=-. Mixed-norm digital filter design methods provide the capability to design filters that have minimum deviation in the pass bands (using the L∞ norm) and minimum broadband noise power in the stop-band... |

2 |
Syscor Res. “Design of mixed-norm FIR filters using an unconstrained least-pth algorithm” Communication Computers and signal processing
- Shpak
- 2003
(Show Context)
Citation Context ...ation in the pass bands (using the L∞ norm) and minimum broadband noise power in the stop-bands (using the L2 norm). Filters that tradeoff between these two extremes (e.g., L4 norm) are also possible =-=[11]-=-.The method allows for the rapid design of mixed-norm FIR filters by using an unconstrained optimization method. Adaptive filtering has been successful in many applications, such as echo cancellation,... |

2 |
Mahanii," FPGA Implementation of LMS Self Correcting Adaptive Filter (SCAF) and Hardware Analysis", 8 th
- Nekouei, Talebi, et al.
(Show Context)
Citation Context ...uency. The LMS filter is faster than the SCAF at the beginning, but it decreases gradually. The SCAF that has almost that hardware utilization is nearly same but maximum frequency is improved by SCAF =-=[17]-=-. III. LEAST SQUARE AND LEAST PTH NORM When designing systems, it is important to have a systematic approach so that the design can be done timely and efficiently, which ultimately leads to lower cost... |

1 |
Rajesh Mehra ” Embedded Design of an efficient Noise Cancellor for Digital Receivers
- Amrita
(Show Context)
Citation Context ...s in the literature. The model of an adaptive filter using Least Mean Square Algorithm has been designed and simulated using Simulink and System Generator block synthesized with Xilinx Synthesis tool =-=[15]-=-. The proposed design consumed fewer resources, with maximum frequency 82.469MHz, Power 1.0139 W, Enhanced speed and Area Efficiency. Rafid Ahmed Khalil examines LMS algorithm of adaptive filtering an... |

1 |
Khalil "Adaptive Filter Application in Echo Cancellation System and Implementation using FPGA
- Ahmed
- 2008
(Show Context)
Citation Context ... MATLAB for simulation with real acoustic signals. Also a hardware implementation of an adaptive filter have been developed using XC3S500E Xilinx FPGA chip, and VHDL language on RTL abstraction level =-=[16]-=-. The transversal FIR adaptive filters were used in only one of many methods of digital filtering. An efficient filter structures with optimized code to create a system-on-chip (SOC) solution for vari... |